M. Talbi

activity

20172022

most citedOn a Conjecture of Lemmermeyer

4 citations · 17 across the 11 of their papers we have counts for

collaborators

12 papers

math.NT2022

On the exact divisibility by $5$ of the class number of some pure metacyclic fields

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $Γ = Q (5 n)$ be a pure quintic field, where $n$ is a natural number $5^{t h}$ power-free. Let $k = Q (5 n, ζ_{5})$ , with $ζ_{5}$ is a primitive $…

math.NT2022

On some realizable metabelian $5$ -groups

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $G$ be a $5$ -group of maximal class and $γ_{2} (G) = [G, G]$ its derived group. Assume that the abelianization $G / γ_{2} (G)$ is of type $(5, 5)$ and the transfers $V_{H_{1} \to γ_{2} (G)}$ …

math.NT2021★ 1 cited

$3$ -Principalization over $S_{3}$ -fields

Siham Aouissi, Mohamed Talbi, Daniel C. Mayer +1

Let $p \equiv 1 (mod 9)$ be a prime number and $ζ_{3}$ be a primitive cube root of unity. Then $k = Q (3 p, ζ_{3})$ is a pure metacyclic field with grou…

math.NT2020

The generators of $5$ -class group of some fields of degree 20 over $Q$

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $Γ = Q (5 n)$ be a pure quintic field, where $n$ is a positive integer, $5^{t h}$ power-free. Let $k_{0} = Q (ζ_{5})$ be the cyclotomic field containing…

math.NT2020★ 3 cited

$5$ -rank of ambiguous class groups of quintic Kummer extensions

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $k = Q (5 n, ζ_{5})$ , where $n$ is a positive integer, $5^{t h}$ power-free, whose $5 -$ class group is isomorphic to $\mathbb{Z}/5\mathbb{Z}\times\mathbb{Z}/5\ma…

math.NT2019

5-Class towers of cyclic quartic fields arising from quintic reflection

Abdelmalek Azizi, Yasuhiro Kishi, Daniel C. Mayer +2

Let zeta5 be a primitive fifth root of unity and d<>1 be a quadratic fundamental discriminant not divisible by 5. For the 5-dual cyclic quartic field M=Q((zeta5-zeta5^-1)*d^1/2) of…

math.NT2019★ 2 cited

Principal factors and lattice minima

Siham Aouissi, Abdelmalek Azizi, Moulay Chrif Ismaili +2

Let $k = Q (3 d, ζ_{3})$ , where $d > 1$ is a cube-free positive integer, $k_{0} = Q (ζ_{3})$ be the cyclotomic field containing a primitive cube root o…

math.NT2018★ 4 cited

On a Conjecture of Lemmermeyer

Siham Aouissi, Mohamed Talbi, Moulay Chrif Ismaili +1

Let $p \equiv 1 (mod 3)$ be a prime and denote by $ζ_{3}$ a primitive third root of unity. Recently, Lemmermeyer presented a conjecture about $3$ -class groups of pure cubic…

math.NT2018★ 2 cited

Fields $Q (3 d, ζ_{3})$ whose $3$ -class group is of type $(9, 3)$

Siham Aouissi, Mohamed Talbi, Moulay Chrif Ismaili +1

Let $k = Q (3 d, ζ_{3})$ , with $d$ a cube-free positive integer. Let $C_{k, 3}$ be the $3$ -component of the class group of $k$ . By the aid of g…

math.NT2018★ 1 cited

The generators of $3$ -class group of some fields of degree $6$ over $Q$

Siham Aouissi, Moulay Chrif Ismaili, Mohamed Talbi +1

Let $k = Q (3 p, ζ_{3})$ , where $p$ is a prime number such that $p \equiv 1 (mod 9)$ , and let $C_{k, 3}$ be the $3$ -component of the class gr…

math.NT2018★ 4 cited

$3$ -rank of ambiguous class groups of cubic Kummer extensions

Siham Aouissi, Daniel C. Mayer, Moulay Chrif Ismaili +2

Let $k = k_{0} (3 d)$ be a cubic Kummer extension of $k_{0} = Q (ζ_{3})$ with $d > 1$ a cube-free integer and $ζ_{3}$ a primitive third root of unity. Denote by $C_{k, 3}^{(σ)}$ th…

physics.optics2017

Self-generated off-axis holography in interferometric out-of-focus imaging of ice particles

Mohamed Talbi, Gérard Gréhan, Marc Brunel

Interferometric out-of-focus imaging of ice particles is realized. The overlapping defocused images of two nearby ice particles are analyzed. If one particle is much smaller than t…

On the exact divisibility by 5 of the class number of some pure metacyclic fields

On some realizable metabelian 5-groups

3-Principalization over S3​-fields

The generators of 5-class group of some fields of degree 20 over Q

5-rank of ambiguous class groups of quintic Kummer extensions

5-Class towers of cyclic quartic fields arising from quintic reflection

Principal factors and lattice minima

On a Conjecture of Lemmermeyer

Fields Q(3d​,ζ3​) whose 3-class group is of type (9,3)

The generators of 3-class group of some fields of degree 6 over Q

3-rank of ambiguous class groups of cubic Kummer extensions

Self-generated off-axis holography in interferometric out-of-focus imaging of ice particles

On the exact divisibility by $5$ of the class number of some pure metacyclic fields

On some realizable metabelian $5$ -groups

$3$ -Principalization over $S_{3}$ -fields

The generators of $5$ -class group of some fields of degree 20 over $Q$

$5$ -rank of ambiguous class groups of quintic Kummer extensions

Fields $Q (3 d, ζ_{3})$ whose $3$ -class group is of type $(9, 3)$

The generators of $3$ -class group of some fields of degree $6$ over $Q$

$3$ -rank of ambiguous class groups of cubic Kummer extensions